Knowing the important formulas for CAT preparation is essential for scoring high in the Quantitative Aptitude and Data Interpretation sections. These CAT 2025 Quantitative Aptitude formulas form the base for solving questions quickly and accurately. Therefore, candidates must have keep a formula sheet for CAT 2025 handy. It not only helps candidates while they are solving complex CAT Quant problems but also serves as the best resource during revision.
This Story also Contains
CAT 2025 Quantitative Aptitude Formula Sheet PDF Download
CAT Important Formulas of Geometry
CAT Important Formulas of Trigonometry
Quantitative Aptitude Formulae for CAT 2025
CAT 2025 Quantitative Aptitude Cheat Sheet PDF
CAT 2025 Formula Sheet: Why You Need It?
Key Benefits of Using a CAT Quant Formula Sheet
CAT 2025 Formula Sheet: Why You Need It?
Key Benefits of Using a CAT Quant Formula Sheet
How to Memorise CAT 2025 Formulas Effectively
CAT 2025 Recommended eBooks and Study Materials
CAT 2025 Formulae
In this article, you will get a free CAT 2025 Formula Sheet PDF along with chapter-wise important Quant formulas, shortcuts, and tips for quick revision.
CAT 2025 Quantitative Aptitude Formula Sheet PDF Download
Download the CAT 2025 formula PDF designed for fast revision and last-minute preparation. This free formula sheet covers all the important formulae that will be helpful to solve questions quickly in the CAT exam.
Mastering important geometry formulas is crucial for cracking the CAT exam, as geometry is a key topic in the Quantitative Aptitude section. The following section covers all essential CAT geometry formulas, including areas, polygons, angles, and properties of triangles and circles to help you solve problems quickly and accurately.
Trigonometry plays a vital role in the CAT Quantitative Aptitude section, making it essential to learn and memorise key formulas. This comprehensive list of important CAT trigonometry formulas helps aspirants solve complex problems with speed, accuracy, and confidence during the exam.
1. Basic Trigonometric Ratios
These are defined in relation to a right-angled triangle:
Quantitative Aptitude formulas form the foundation of the Quantitative Aptitude section in the CAT 2025 exam. Here are some important CAT 2025 quant section-wise formulae for CAT 2025 preparation:
Arithmetic
The Arithmetic section is the most important section in the Quantitative Aptitude Section, which is also useful to solve the Data Interpretation problems. Following are some 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:
Percentage
Following are some Important CAT Formulas of percentage:
$X \text{ is what percentage of } Y = \frac{X}{Y} \times 100$
$X \text{ is what percentage more/less than } Y = \frac{|X - Y|}{Y} \times 100$
Shortcut Formulas
Following are some formulas which can be used as CAT Quant Formulae:
Concept
Formula
Successive percentage change
Overall
Changes in A when B and C are altered
Overall
Price increase followed by a decrease
Overall
Profit & Loss:
Following are some Important CAT Formulas of this topic:
Where: $l =$ Length of the train, $s =$ Speed of the train
Time for a train to cross a platform/tunnel
$T = \dfrac{l + d}{s}$
Where: $l =$ Length of the train, $d =$ Length of platform/tunnel, $s =$ Speed of the train
Time for trains to cross each other (same direction)
$T = \dfrac{l_1 + l_2}{s_1 - s_2}$
Where: $l_1, l_2 =$ Lengths of Train 1 and Train 2; $s_1, s_2 =$ Speeds of Train 1 and Train 2
Time for trains to cross each other (opposite direction)
$T = \dfrac{l_1 + l_2}{s_1 + s_2}$
Where: $l_1, l_2 =$ Lengths of Train 1 and Train 2; $s_1, s_2 =$ Speeds of Train 1 and Train 2
Boat & Streams:
Concept
Formula
Speed of Boat in Still Water
$x$ kmph
Speed of Stream/Water/Current
$y$ kmph
Travelling Time
$t$ hr
Distance (Downstream: same direction)
$D = (x + y) \times t$ km
Distance (Upstream: opposite direction)
$D = (x - y) \times t$ km
Clocks
Concept
Formula
Speed of Hour Hand
$0.5^\circ$ per minute
Round covered by Hour Hand
$1$ round $= 360^\circ$ in $12$ hours or $720$ minutes
Speed of Minute Hand
$6^\circ$ per minute
Round covered by Minute Hand
$1$ round $= 360^\circ$ in $1$ hour or $60$ minutes
Angle between Hour and Minute Hands
$\theta =|\frac{11}{2}M-30H$|
Shortcut Formulas
We have provided below the shortcut formulae related to average speeds, boat stream, circular tracks, meeting point, to make your calculations faster in the CAT 2025 exam.
1. Average Speed Formulas
Case 1: Equal distances, different speeds If the distance covered in each stage of a journey is the same, but speeds are different, the average speed is the harmonic mean:
The Geometry section is the lengthiest section in the Quantitative Aptitude Section which has lots of properties and formulas. Following are 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:
1. Triangles:
Properties of Triangles:
The sum of all interior angles in a triangle is $180^\circ$ and the sum of all exterior angles is $360^\circ$.
The sum of any two sides is always greater than the third one and the difference of any two sides is less than the third one.
Let $a, b, c$ be the sides of a triangle, then
$|b-c| < a < b+c$
In a scalene triangle the greatest side is always greater than one-third of the perimeter and less than half of the perimeter.
Let $a, b, c$ be the sides of the triangle and $a$ be the greatest side. Let the perimeter be $P$. Then
$\dfrac{P}{3} < a < \dfrac{P}{2}$
Example: In a scalene triangle $ABC$, the perimeter is $24$ cm and all sides are integers.
Let $a, b, c$ be sides of the triangle with $a$ the greatest side. Then
$\dfrac{24}{3} < a < \dfrac{24}{2}$
$8 < a < 12$
So possible values are $9, 10, 11$ cm.
For $a, b, c$ sides of a triangle and $a$ the greatest side:
If $a^2 < b^2 + c^2$, then the triangle is acute angled.
If $a^2 = b^2 + c^2$, then the triangle is right angled (Pythagoras theorem).
If $a^2 > b^2 + c^2$, then the triangle is obtuse angled.
(Here $D$ is the midpoint of side $AC$, so $AD = DC$)
Midpoint of a triangle
Length of the Median – BD = $\frac12 \sqrt{2(AB^2+BC^2)−AC^2}$
3× (Sum of squares of sides) =4× (Sum of squares of medians), that is, $3(a^2+b^2+c^2)=4({M_a}^2+{M_b}^2+{M_c}^2)$ where a,b, and c are the sides of the triangle and Ma, Mb, and Mc are the medians.
In a right-angled triangle, Median of Hypotenuse = Half of Hypotenuse That is, CD = AB/2
Median of hypotenuse
If all the medians are drawn in the triangle, then the 6 small triangles are generated in the triangle, which are equal in the Area.
Area of Triangle:
Heron’s Formula
If all sides of a triangle are given. Let $a, b, c$ be the sides of the triangle –
Area $= \sqrt{s(s-a)(s-b)(s-c)}$ where $s = \dfrac{a+b+c}{2}$ is the semiperimeter.
If two sides and the included angle are given –
Area $= \dfrac{1}{2} \times \text{(Product of given sides)} \times \sin(\text{included angle})$
Area $= \dfrac{1}{2} \times a \times b \times \sin C$
(Example: sides $a, b$ and included angle $C$ are given)
If a side and its respective altitude (perpendicular drawn from the opposite vertex) is given, then –
Area of the triangle $= \dfrac{1}{2} \times \text{Base} \times \text{Height (Altitude)}$
Shortcut Formulas
Area of an equilateral triangle = $ \frac{\sqrt{3}}{4} a^2 $
Height (Altitude) of an equilateral triangle = $ \frac{\sqrt{3}}{2} a $
Area of a triangle = $ r \times s $ (where $r$ is the inradius and $s$ is the semiperimeter)
Area of a triangle = $ \frac{abc}{4R} $ (where $a$, $b$, $c$ are sides and $R$ is the circumradius)
Quadrilaterals:
Trapezium
Area: $ \frac{1}{2} \times (\text{Sum of Parallel Sides}) \times \text{Height} $ $ \frac{1}{2} \times (AB + CD) \times H $
Parallelogram
Opposite angles and sides are equal. Diagonals bisect each other. Sum of squares of diagonals: $ 2(a^2 + b^2) $ Area: $ \text{Base} \times \text{Height} = a \times h $ Area (with angle): $ a \cdot b \cdot \sin \theta $
Rhombus
All sides and opposite angles are equal.
Diagonals bisect each other at 90∘.
Sum of squares of diagonals: $ 4a^2 $ Area: $ \frac{1}{2} d_1 d_2 $ Perimeter: $ 4a $
Where: a is the length of a side, d1 and d2 are the lengths of the diagonals.
Rectangle
Perimeter: $ 2(l + b) $ (where $l =$ length, $b =$ breadth) Area: $ l \times b $ Length of diagonal: $ \sqrt{l^2 + b^2} $
Square
Perimeter: $ 4a $ (where $a =$ side of square) Area: $ a^2 $ Length of diagonal: $ a\sqrt{2} $
Cyclic Quadrilateral
$\text{Sum of opposite angles} = 180^\circ$
$\text{Area} = \frac{1}{2} \times d_1 \times d_2 \times \sin \theta \quad \text{(where } \theta \text{ is the angle between the diagonals)}$
$\text{Area} = (s - a)(s - b)(s - c)(s - d), \quad \text{where } a,b,c,d \text{ are sides and } s = \frac{a + b + c + d}{2} \text{ is the semi-perimeter}.$
3. Circle:
Circumference of a circle $= 2\pi r$
Area of a circle $= \pi r^2$
For a semi-circle:
Circumference of a semi-circle $= \pi r$
Perimeter of a semi-circle $= \pi r + 2r$
Area of a semi-circle $= \dfrac{\pi r^2}{2}$
Sector & Segment of circle
$OAXC$ is called the sector of the circle and $AXC$ is called the segment.
Length of arc $AXC = \dfrac{\theta}{360} \times 2\pi r$ (where $r$ is the radius)
Area of sector $OAXC = \dfrac{\theta}{360} \times \pi r^2$
$2 \times \text{Area of sector} = \text{Length of arc} \times \text{Radius}$
Area of segment $AXC = \text{Area of sector } OAXC - \text{Area of } \triangle OAC$
$\theta$ = angle subtended at the center (in degrees)
$r$ = radius of the circle
Common Tangent
$PQ$ and $RS$ are the direct common tangents of the circles, which are equal in length.
Length of direct common tangent $(L)$:
$L^2 = d^2 - (r_1 - r_2)^2$
Where:
$d =$ distance between centers of the circles
$r_1, r_2 =$ radii of the circles
$PQ$ and $RS$ are the transverse common tangents of the circles, which are equal in length.
Length of transverse common tangent $(L)$:
$L^2 = d^2 - (r_1 + r_2)^2$
Where:
$L =$ length of the transverse common tangent
$d =$ distance between the centers of the two circles
$r_1, r_2 =$ radii of the two circles
Mensuration:
Cube
{a- side of cube}
Let a be the side of the cube:
Lateral Surface Area (L.S.A.): $ 4a^2 $
Total Surface Area (T.S.A.): $ 6a^2 $
Volume: $ a^3 $
Cuboid
{l-length, b-breadth,
h-height}
Let l = length, b = breadth, h = height:
Lateral Surface Area (L.S.A.): $ 2(l + b)h $
Total Surface Area (T.S.A.): $ 2(lb + bh + hl) $
Volume: $ l \times b \times h $
Cylinder
{r-radius of circular base,
h-height}
Let r = radius of base, h = height:
Curved Surface Area (C.S.A.): $ 2\pi r h $
Total Surface Area (T.S.A.): $ 2\pi r (r + h) $
Volume: $ \pi r^2 h $
Cone
{r-radius of circular base,
h-height, l- slant height}
Curved Surface Area (C.S.A.): $ \pi r l $
Total Surface Area (T.S.A.): $ \pi r (r + l) $
Volume: $ \frac{1}{3}\pi r^2 h $
Where: r = radius, h = height, l = slant height
Sphere
{r-radius}
Total Surface Area: $ 4\pi r^2 $
Volume: $ \frac{4}{3} \pi r^3 $
Where r is the radius.
Hemi-sphere
{r-radius}
Let r be the radius:
Curved Surface Area (C.S.A.): $ 2\pi r^2 $
Total Surface Area (T.S.A.): $ 3\pi r^2 $
Volume: $ \frac{2}{3} \pi r^3 $
Algebra
The Algebra section is a critical part of the Quantitative Aptitude section in the CAT exam. Below are over 50 important formulas for CAT preparation in this section, which are provided in this comprehensive CAT Formula Sheet:
1. Quadratic Equations
General form: $ ax^2 + bx + c = 0 $
Roots of the equation (Shreedhara Acharya's Formula): $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $
Sum of roots: $ \text{Sum} = -\frac{b}{a} $
Product of roots: $ \text{Product} = \frac{c}{a} $
Discriminant: $ D = b^2 - 4ac $
If $D > 0$, roots are real and distinct
Perfect square $D$ → roots are rational (e.g., $x=1,6$)
Definition of Logarithm: $ \log_b a = x ;;\Longleftrightarrow;; b^x = a $
Log of 1: $ \log_b 1 = 0 \quad (b>0, ; b \neq 1) $
Log of the base itself: $ \log_b b = 1 $
Log of a product: $ \log_b (mn) = \log_b m + \log_b n $
Log of a quotient: $ \log_b \left(\frac{m}{n}\right) = \log_b m - \log_b n $
Log of a power: $ \log_b (m^n) = n \cdot \log_b m $
Change of base formula: $ \log_b a = \frac{\log_k a}{\log_k b} $
Base switch rule: $ \log_a b = \frac{1}{\log_b a} $
CAT 2025 Quantitative Aptitude Cheat Sheet PDF
Get a CAT 2025 Quantitative Aptitude Cheat Sheet with all essential formulas, shortcuts, and problem-solving tricks to boost your speed and accuracy in the Quant section.
A CAT 2025 Quantitative Aptitude formula sheet is a must-have for MBA entrance preparation. Quantitative Aptitude in CAT tests not only your mathematical knowledge but also your speed and accuracy, and having all important formulas in one place can make a huge difference. Instead of flipping through multiple books or notes, a CAT formula PDF allows aspirants to revise quickly and focus on high-weightage topics like Arithmetic, Algebra, Geometry, Number System, and Modern Maths.
Using a formula sheet daily also improves conceptual clarity. By repeatedly revising key formulas, you develop faster problem-solving skills, reduce calculation errors, and gain confidence for mocks and the actual exam. For students aiming to maximize their percentile, a well-structured CAT Quant formula sheet is an indispensable tool for efficient preparation.
Key Benefits of Using a CAT Quant Formula Sheet
A CAT formula sheet PDF brings several advantages:
It saves time during last-minute revision, allowing aspirants to focus only on the most important formulas.
It ensures you cover all high-utility concepts, reducing the risk of missing scoring areas in the exam.
Daily use improves speed and accuracy in problem-solving, which is crucial for a time-bound exam like CAT.
It highlights shortcut methods and calculation tricks, helping tackle tricky Quant questions more efficiently.
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With these benefits, a formula sheet acts not just as a reference, but as a preparation strategy tool, guiding aspirants to revise smartly and systematically.
CAT 2025 Formula Sheet: Why You Need It?
A CAT 2025 formula sheet acts as a quick reference guide during preparation. It helps you recall key concepts, save revision time, and improve accuracy in problem-solving. Having all important formulas from Arithmetic, Algebra, Geometry, and Modern Math in one place boosts your speed and confidence while attempting Quantitative Aptitude questions in the exam.
Saves Time During CAT Revision
A well-organised CAT formula sheet allows you to revise important concepts quickly before mocks and the final exam. Instead of searching through multiple books or notes, you can go through one sheet that covers all crucial formulas from Arithmetic, Algebra, Geometry, and Numbers. This structured revision helps you improve speed and problem-solving efficiency.
Strengthens Conceptual Clarity
Preparing a formula sheet for CAT 2025 preparation builds a stronger understanding of topics. Writing and categorising formulas by section—like percentages, ratios, or permutations—helps you connect ideas and recall the right one during tough questions. This approach ensures both clarity and application accuracy in the actual exam.
Minimises Errors and Improves Accuracy
Many students make small calculation errors due to confusion between similar formulas. Regularly revising from your CAT Quant formula sheet helps you retain correct equations and avoid mix-ups. Clear understanding of formula derivations enhances precision, reducing chances of negative marking in the test.
Enhances Mock Test Performance
Using a CAT formula sheet during mock test practice can significantly improve your score. Reviewing it before and after each mock boosts memory retention and highlights weak areas. You can track which formulas you forget often and revise them again—turning your mock analysis into a more effective learning process.
Builds Confidence Before the Exam
Before appearing for CAT 2025, revising all key formulas from your sheet gives a psychological advantage. It helps calm nerves, refresh memory, and strengthen exam confidence. A personalised, well-maintained formula sheet acts like a final preparation guide, ensuring you enter the exam hall fully prepared.
Key Benefits of Using a CAT Quant Formula Sheet
A CAT Quant formula sheet is one of the smartest ways to simplify exam preparation. It helps you revise essential formulas, identify weak areas, and boost problem-solving speed. With quick access to all important concepts, aspirants can focus better, reduce last-minute stress, and improve their CAT 2025 Quantitative Aptitude performance significantly.
Simplifies Formula Revision
The CAT 2025 Quant formula sheet collects all key formulas in one place—covering Arithmetic, Algebra, Geometry, and Modern Math. Instead of flipping through books, you can revise every crucial concept quickly. This saves time and helps maintain consistent practice, ensuring you remember formulas even under exam pressure.
Improves Calculation Speed
Remembering formulas accurately is essential for speed-based exams like CAT 2025. Regular revision from your Quant formula sheet helps you apply equations faster, solve complex problems efficiently, and attempt more questions in less time. This habit can make a major difference in your sectional and overall percentile.
Boosts Accuracy and Reduces Errors
A personalised CAT Quant formula sheet strengthens your recall and clarity. When you know which formula fits each question type, you reduce silly mistakes and confusion. Repeatedly reviewing and testing yourself on these formulas improves accuracy, especially in topics like Time-Speed-Distance, Profit-Loss, and Probability.
Supports Last-Minute Preparation
During the final days before CAT 2025, revising entire books isn’t practical. Your Quant formula sheet becomes the ultimate quick revision guide. It helps you brush up on important equations and shortcuts in a few hours, keeping your memory fresh right before the exam.
Helps Identify Weak Areas
While updating your CAT 2025 Quantitative Aptitude formula sheet, you’ll naturally notice which topics you often skip or forget. This helps in analysing your weaker areas early and focusing your preparation accordingly. Over time, it turns into a powerful self-assessment and improvement tool for CAT aspirants.
How to Memorise CAT 2025 Formulas Effectively
Simply reading formulas is not enough; active learning and revision are key. Here’s how to memorize CAT Quant formulas effectively:
Group formulas by topics like Arithmetic, Algebra, Geometry, Trigonometry, Number System, and Modern Maths. This ensures systematic revision and reduces confusion during the exam.
Write and solve questions immediately after revising a formula. For example, if you revise the formula for Compound Interest, solve a small problem to reinforce memory.
Use visual aids like diagrams for Geometry or Trigonometry, which help in retaining formulas longer.
Flashcards and digital notes are useful for on-the-go revision.
Explain formulas aloud or teach a friend. This strengthens memory and helps internalize concepts faster.
Night revision before sleeping also improves retention, as the brain continues processing information during sleep.
By following these strategies, aspirants can ensure that important formulas for CAT 2025 stay fresh in memory and are instantly available during exams.
Applying Formulas in Previous Year Questions
Understanding how formulas are applied in actual CAT questions is vital. Previous year CAT papers reveal patterns in:
Arithmetic: frequent use of percentages, profit-loss, ratio-proportion problems.
Geometry & Trigonometry: areas, volumes, angles, and ratios tested regularly.
Data Interpretation: averages, percentages, and ratio-based calculations in tables and charts.
By practising previous year questions with a CAT 2025 formula PDF, aspirants learn to recall formulas quickly and apply them under exam conditions, boosting both speed and accuracy.
How to Create Your CAT 2025 Formula Sheet
A well-organized formula sheet can drastically improve preparation efficiency:
Arrange formulas chapter-wise: Arithmetic, Algebra, Geometry, Number System, Modern Maths.
Highlight high-importance formulas using color or bold text.
Include small diagrams for Geometry and Trigonometry to aid visual memory.
Maintain either a physical notebook or a digital file for easy access.
Compile a one-page PDF of essential formulas for quick last-minute revision.
This approach ensures all key formulas are available at your fingertips, making your study time highly productive.
CAT 2025 Recommended eBooks and Study Materials
Explore the best CAT 2025 eBooks and study materials recommended by experts for complete preparation. These resources will help aspirants revise efficiently and boost exam preparation.
Q: What are the most important formulas for CAT Quantitative Aptitude?
A:
Key formulas include percentages, profit and loss, time-speed-distance, averages, simple and compound interest, geometry theorems, and algebraic identities. These formulas help solve most Quant questions quickly and accurately in CAT 2025.
Q: Do I need to remember all formulas for CAT 2025?
A:
You don’t need every formula ever made—just focus on those repeatedly asked in previous CAT papers. Prioritise core areas like Arithmetic, Algebra, and Geometry for best results.
Q: How can I memorise CAT formulas effectively?
A:
Write formulas in a separate notebook or digital sheet, revise them daily, and practise topic-wise questions. Repetition through mock tests helps build long-term memory and faster recall during the exam.
Q: How does a CAT formula sheet help in exam preparation?
A:
A well-organised CAT formula sheet saves revision time, prevents confusion, and improves problem-solving speed. It’s especially useful for last-minute revision before mocks and the final CAT exam.
Q: Where can I find topic-wise CAT 2025 formulas?
A:
You can create your own sheet from trusted CAT preparation books or refer to online resources like Careers360 and coaching material that list CAT 2025 topic-wise formulas for quick reference.
Q: Are NCERT books useful for CAT preparation?
A:
Yes, NCERT books, particularly for subjects like Mathematics, provide a solid foundation. They are especially beneficial for beginners to grasp basic concepts before moving to more complex materials.
Q: Can I prepare for CAT 2025 without coaching?
A:
Absolutely. Many aspirants successfully prepare using self-study materials, previous year papers, and practice tests. Discipline and a well-structured study plan are key to self-preparation.
Q: Which Geometry formulas are frequently used in CAT?
A:
Important formulas are Area of Circle (πr²), Circumference (2πr), and Pythagoras theorem (a² + b² = c²). Triangle area ½ × base × height and Volume of Cylinder (πr²h) are also common. CAT Geometry questions depend directly on these.
Q: Are there important formulas in Number System for CAT?
A:
Yes, formulas like LCM × HCF = Product of numbers and sum of series are important. Examples: sum of first n natural numbers n(n+1)/2 and squares n(n+1)(2n+1)/6. Divisibility rules also save time in CAT questions.
With 802 marks in TS Inter and ST category, you have a fair chance of getting admission in BPT (Bachelor of Physiotherapy) in some private colleges through state counselling.
However, for government colleges, the cutoff may be slightly higher, so keep options open for management quota or allied health colleges too.
You already have a strong profile with the score of 58% in Class 10, 74% in Class 12, and 80% in graduation, but admission in IIT Bombay, Shailesh J Mehta School of Management is quite competitive, especially if you are in general category because the cutoff for general goes to 98.5-99%. Your CAT percentage is impressive but your 10th marks might reduce your score during the shortlisting process. If you perform well in Written Ability Test and Personal Interview, and present your commerce background you still stand a fair chance. But it would also be wise if you have some backups like MDI Gurugram, IMT Ghaziabad, IMI Delhi, where your marks and profile will fit well in their selection range.
Yes, Pragati Engineering College offers seats in Category-B (Management quota) for
B.Tech
programmes. The selection criteria is mentioned as the per the guidelines issued by the AP State Council of Higher Education (APSCHE). The applications are available on the college's official website.
You can know more about the college and the courses from the link given below:
M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.
Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.
The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :
It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired.
Question :
In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?
Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'.
They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared.
They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders.
On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries.
On the backdrop of the above information answer the questions given :
Question:
Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?
Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours.
The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.
It was also known that :
a) The stick with the red colour was opposite to the stick with the blue colour
b) There were exactly two sticks whose both ends had colours whose names started with the same letter
c) The stick with the grey colour was adjacent to the stick with the white colour
d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour
e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour
f) The stick with the white colour was opposite to the stick with the green colour
Question :
What was the colour of the bottom end of the stick having brown colour at the top end ?
Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'.
They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared.
They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders.
On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries.
On the backdrop of the above information answer the questions given :
Question:
Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?
Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'.
They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared.
They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders.
On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries.
On the backdrop of the above information answer the questions given :
Question:
Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?
Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'.
They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared.
They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders.
On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries.
On the backdrop of the above information answer the questions given :
Question:
Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?
Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'.
They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared.
They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders.
On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries.
On the backdrop of the above information answer the questions given :
Question:
A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?
Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'.
They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared.
They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders.
On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries.
On the backdrop of the above information answer the questions given :
Question:
Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?
The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :
Question:
What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?
The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.
In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.
Dr Sanyal was able to gather the following partial information :
Hostel inmates
Menu preference for dinner
Total
Egg Meal
Fish Meal
Chicken Meal
Gents
20
Ladies
64
Total
60
The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :
1. Forty percent of the hostel inmates were ladies
2. One-third of the gentlemen inmates preferred an egg meal for dinner
3. Half the hostel inmates preferred either fish meal or chicken meal
Question:
What proportion of the lady hostel inmates preferred a fish meal for dinner ?
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